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Nonlinear optical Galton board

AuthorsNavarrete Benlloch, Carlos; Pérez Cañellas, Armando ; Roldán, Eugenio
KeywordsSelf-phase modulation
Optical solitons
Wave functions
Optical chaos
[PACS] Quantum computation
[PACS] Random walks and Levy flights
[PACS] Nonlinear optics
Issue Date27-Jun-2007
PublisherAmerican Physical Society
CitationPhysical Review A 75: 062333 (2007)
AbstractWe generalize the concept of optical Galton board (OGB), first proposed by Bouwmeester [Phys. Rev. A 61, 013410 (2000)], by introducing the possibility of nonlinear self-phase modulation on the wave function during the walker evolution. If the original Galton board illustrates classical diffusion, the OGB, which can be understood as a grid of Landau-Zener crossings, illustrates the influence of interference on diffusion, and is closely connected with the quantum walk. Our nonlinear generalization of the OGB shows new phenomena, the most striking of which is the formation of nondispersive pulses in the field distribution (solitonlike structures). These exhibit a variety of dynamical behaviors, including ballistic motion, dynamical localization, nonelastic collisions, and chaotic behavior, in the sense that the dynamics is very sensitive to the nonlinearity strength.
Description7 pages, 8 figures.-- PACS nrs.: 03.67.Lx; 05.40.Fb; 05.45.Yv; 42.65.-k.-- ISI Article Identifier: 000247624300071.-- ArXiv pre-print available at: http://arxiv.org/abs/quant-ph/0604084
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevA.75.062333
Appears in Collections:(IFIC) Artículos
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